Solve the quadratic equation $\frac{\left(x-1\right)^2}{4}=\frac{x+5}{6}+x$

Step-by-step Solution

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Final answer to the problem

$x=7,\:x=-\frac{1}{3}$
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Step-by-step Solution

How should I solve this problem?

  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
  • Find break even points
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Combine all terms into a single fraction with $6$ as common denominator

$\frac{\left(x-1\right)^2}{4}=\frac{x+5+6x}{6}$

Learn how to solve product rule of differentiation problems step by step online.

$\frac{\left(x-1\right)^2}{4}=\frac{x+5+6x}{6}$

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Learn how to solve product rule of differentiation problems step by step online. Solve the quadratic equation ((x-1)^2)/4=(x+5)/6+x. Combine all terms into a single fraction with 6 as common denominator. Combining like terms x and 6x. Apply fraction cross-multiplication. Solve the product 4\left(7x+5\right).

Final answer to the problem

$x=7,\:x=-\frac{1}{3}$

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Function Plot

Plotting: $\frac{\left(x-1\right)^2}{4}+\frac{-x-5}{6}-x$

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Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

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